SINCLAIR COMMUNITY COLLEGE DAYTON, OHIO SYLLABUS FOR COURSE IN MAT 102 - INTERMEDIATE ALGEBRA (5 CREDIT HOURS) 1. PREREQUISITE: MAT 101 - Elementary Algebra or sufficient score on Sinclair Community College Mathematics Placement Test. 2. COURSE DESCRIPTION: Includes sets, algebraic fractions, radical expressions, complex numbers, quadratic equations in one variable, graphs in the plane, systems of linear equations, relations and functions, quadratic, rational, and absolute value inequalities. 3. COURSE OBJECTIVES: This course is designed to review and expand the concepts of elementary algebra and to introduce further topics that the student will need to continue the study of mathematics. At the completion of this course, the student will be eligible to enroll in MAT 116 College Algebra. 4. TEXT: MATH 102 Bittinger/Ellenbogen/Johnson Pearson Custom Publishing Note: The text above is taken from ELEMENTARY AND INTERMEDIATE ALGEBRA—CONCEPTS AND APPLICATIONS, First Edition, by Bittinger, Ellenbogen, Johnson, Addison-Wesley Publishing Company, which may also be used. Calculators at the option of the instructor. All exams are to be closed book. No formula sheets allowed on exams. 5. PREPARED BY: DATE: Susan Myers October, 2000 SINCLAIR COMMUNITY COLLEGE DAYTON, OHIO CLASS SCHEDULE FOR COURSE IN MAT 102 - INTERMEDIATE ALGEBRA (5 CREDIT HOURS) DAY SECTIONS WK DAY M 1 2 3 4 SECTIONS AND TOPICS OF TEXT T W *** 5.5 5.6 6.2 R 6.5 F 6.6 M T 6.7 6.8 W R F 6.9 M 7.1 3.3 T W R F 7.2 7.3 7.4 8.1 M T 8.2 8.2 8.3 W 8.3 R F 8.4 8.5 5 M T W R F 9.1 9.2 9.3 6 M T W R 9.3 10.1 10.2 10.3 F 10.4 Introduction, Diagnostic Test Factoring Sums and Differences of Cubes Factoring: A General Strategy Multiplication and Division--Rational Expressions Addition and Subtraction with Unlike Denominators--Rational Expressions Complex Rational Expressions Solving Rational Equations Problem Solving: Rational Equations and Proportions Formulas and More Problem Solving REVIEW TEST ONE Slope Graphing: Horizontal & Vertical Lines; Using Intercepts Slope-Intercept Form Point-Slope Form Functions Systems of Equations in Two Variables Solving by Substitution or Elimination Solving by Substitution or Elimination Problem Solving Using System of Two Equations in Two Variables Problem Solving Using System of Two Equations in Two Variables Systems of Equations in Three Variables Problem Solving Using a System of Three Equations REVIEW TEST TWO Interval Notation and Problem Solving Compound Inequalities Absolute-Value Equations and Inequalities Absolute-Value Equations and Inequalities Radical Expressions Rational Numbers as Exponents Multiplying and Simplifying with Radical Expressions Dividing and Simplifying Radical Expressions MAT 102 - INTERMEDIATE ALGEBRA DAY SECTIONS - CON'T WK DAY SECTIONS AND TOPICS OF TEXT M T W R F 10.5 10.6 10.6 Addition, Subtraction, and More Multiplication Rationalizing Numerators and Denominators Rationalizing Numerators and Denominators REVIEW TEST THREE M T W 10.7 10.8 10.9 10.9 Solving Radical Equations Pythagorean Theorem Problems Only The Complex Numbers The Complex Numbers R 11.1 F 11.2 Solving Quadratic Equations: Square Roots Solving Quadratic Equations: Square M T W 11.3 11.4 11.5 R F 11.6 11.7 10 M T W R F 11.8 11.9 11.10 13.1 11 M T W R 7 8 9 The Principle of Completing the The Quadratic Formula and Problem Solving Rational Equations and Problem Solving The Discriminant and Solutions to Quadratic Equations Equations Reducible to Quadratic Quadratic Functions and Their Graphs More About Graphing Quadratic Functions Problem Solving and Quadratic Functions Polynomial and Rational Inequalities Distance Formula, Midpoint Formula REVIEW TEST FOUR REVIEW REVIEW FINAL EXAM IMPORTANT NOTE: The final exam will be in two parts to be administered during the same class period. Part one will be prepared by the department in the Fall, Winter, and Spring quarters. It will be a 20 question, 40 minute, multiple choice test. It will be sent to the instructor in the mail. Part two is to prepared by the instructor. It may be of any format, but should be 15 minutes long. The instructor should count part one for 80% of the final exam score and part two for 20%. The final exam score should count for about 20% of the final course grade. The instructor will be asked to report the scores on part one and the final course grades back to the department. CLASS SCHEDULE FOR COURSE IN MAT 102 - INTERMEDIATE ALGEBRA (5 CREDIT HOURS) NIGHT SECTIONS WK DAY SECTIONS AND TOPICS OF TEXT 1 M/T *** 5.5 5.6 6.2 W/R 6.5 6.6 6.7 2 M/T 6.8 6.9 W/R 3 M/T 5 Problem Solving: Rational Equations and Proportions Formulas and More Problem Solving REVIEW TEST ONE Slope Graphing: Horizontal & Vertical Lines; Using Intercepts 7.2 7.3 7.4 8.1 Slope-Intercept Form Point-Slope Form Functions Systems of Equations in Two Variables M/T 8.2 8.3 W/R 8.4 8.5 Solving by Substitution or Elimination Problem Solving Using System of Two Equations in Two Variables Systems of Equations in Three Variables Problem Solving Using a System of Three Equations REVIEW 9.1 9.2 9.3 TEST TWO Interval Notation and Problem Solving Compound Inequalities Absolute-Value Equations and Inequalities W/R 4 7.1 3.3 Introduction, Diagnostic Test Factoring Sums and Differences of Cubes Factoring: A General Strategy Multiplication and Division--Rational Expressions Addition and Subtraction with Unlike Denominators--Rational Expressions Complex Rational Expressions Solving Rational Equations M/T W/R MAT 102 - INTERMEDIATE ALGEBRA NIGHT SECTIONS - CON'T WK DAY 6 M/T W/R SECTIONS AND TOPICS OF TEXT 10.1 10.2 10.3 10.4 7 M/T W/R 8 10.5 10.6 10.7 10.8 M/T 10.9 11.1 W/R 11.2 11.3 9 10 M/T 11.4 11.5 W/R 11.6 11.7 M/T 11.8 11.9 11.10 13.1 W/R 11 M/T W/R Radical Expressions Rational Numbers as Exponents Multiplying and Simplifying with Radical Expressions Dividing and Simplifying Radical Expressions Addition, Subtraction, and More Multiplication Rationalizing Numerators and Denominators REVIEW TEST THREE Solving Radical Equations Pythagerean Theorem Problems Only The Complex Numbers Solving Quadratic Equations: The Principle of Square Roots Solving Quadratic Equations: Completing the Square The Quadratic Formula and Problem Solving Rational Equations and Problem Solving The Discriminant and Solutions to Quadratic Equations Equations Reducible to Quadratic Quadratic Functions and Their Graphs More About Graphing Quadratic Functions Problem Solving and Quadratic Functions Polynomial and Rational Inequalities Distance Formula, Midpoint Formula REVIEW TEST FOUR REVIEW FINAL EXAM IMPORTANT NOTE: The final exam will be in two parts to be administered during the same class period. Part one will be prepared by the department in the Fall, Winter, and Spring quarters. It will be a 20 question, 40 minute, multiple choice test. It will be sent to the instructor in the mail. Part two is to prepared by the instructor. It may be of any format, but should be 15 minutes long. The instructor should count part one for 80% of the final exam score and part two for 20%. The final exam score should count for about 20% of the final course grade. The instructor will be asked to report the scores on part one and the final course grades back to the department.